Details

Time bar (total: 3.6m)

sample221.0ms

Algorithm
intervals
Results
79.0ms256×body80valid
62.0ms222×body80nan

simplify542.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
541.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize81.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ (* z (sqrt (+ t a))) t)
2.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv associate-/r* sqrt-div div-exp insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 105
Calls
4 calls:
Slowest
23.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(/ (* z (sqrt (+ t a))) t)
15.0ms
(* z (sqrt (+ t a)))
12.0ms
(/ 2.0 (* t 3.0))

series558.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
134.0ms
(/ (* z (sqrt (+ t a))) t)
91.0ms
(* z (sqrt (+ t a)))
21.0ms
(/ 2.0 (* t 3.0))

simplify19.4s

Counts
142 → 117
Calls
142 calls:
Slowest
691.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
655.0ms
(* t (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
623.0ms
(- (* (* z (sqrt (+ t a))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (* (- b c) (- (pow (+ a (/ 5.0 6.0)) 3) (pow (/ 2.0 (* t 3.0)) 3)))))
620.0ms
(+ (* (/ (* z (sqrt (+ t a))) t) (/ (* z (sqrt (+ t a))) t)) (+ (* (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
589.0ms
(/ (* (* 2.0 2.0) 2.0) (* (* (* t 3.0) (* t 3.0)) (* t 3.0)))

prune2.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×flip3-- add-exp-log flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 173
Calls
4 calls:
Slowest
45.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
40.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
333.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
285.0ms
(cbrt t)
253.0ms
(cbrt t)
150.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify55.5s

Counts
243 → 185
Calls
243 calls:
Slowest
826.0ms
(* (cbrt t) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))
821.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (* (cbrt t) (cbrt t)) (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) 2.0)))))
797.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) 2.0)))))
789.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
769.0ms
(* (* (cbrt t) (cbrt t)) (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

prune4.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
1.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.9b
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
0.6b
(cbrt t)

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
58×times-frac
48×*-un-lft-identity
46×associate-*r*
42×frac-sub
39×frac-times
36×add-cube-cbrt
28×cbrt-prod sqrt-prod
27×associate-*r/
25×flip3-- add-exp-log flip--
21×associate-*l/
18×add-cbrt-cube frac-add
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×pow1 cbrt-undiv div-exp associate-*l*
6×distribute-lft-out add-log-exp
5×log-prod
4×log-pow insert-posit16
3×exp-prod
2×sub-neg exp-sum div-inv associate--r+
1×distribute-rgt-in log-div distribute-lft-in exp-diff pow1/3 diff-log rem-log-exp pow-prod-down *-commutative
Counts
4 → 176
Calls
4 calls:
Slowest
110.0ms
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
61.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
36.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(cbrt t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
367.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
363.0ms
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
329.0ms
(cbrt t)
157.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify58.5s

Counts
249 → 188
Calls
249 calls:
Slowest
879.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (+ (* b b) (+ (* c c) (* b c))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (cbrt t) (cbrt t)) (* (- (pow b 3) (pow c 3)) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))
866.0ms
(- (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (- (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t)))) (* (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (+ (pow (/ 5.0 6.0) 3) (pow (- a (/ 2.0 (* 3.0 t))) 3)))))
866.0ms
(+ (* (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))) (+ (* (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
782.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (pow b 3) (pow c 3)) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))
761.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (* (cbrt (sqrt (+ t a))) (cbrt (sqrt (+ t a)))) (sqrt (cbrt t))))

prune5.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
1.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
42×frac-sub
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×flip3-- add-exp-log flip--
21×associate-*l/
18×add-cbrt-cube frac-add
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out add-log-exp
4×insert-posit16
2×pow1/3 div-inv associate--r+
1×distribute-rgt-in sub-neg distribute-lft-in diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
Slowest
54.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
39.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
367.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
319.0ms
(cbrt t)
280.0ms
(cbrt t)
176.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify53.6s

Counts
239 → 181
Calls
239 calls:
Slowest
949.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (+ (* b b) (+ (* c c) (* b c))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (cbrt t) (cbrt t)) (* (- (pow b 3) (pow c 3)) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))
894.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (cbrt t) (* (- (pow b 3) (pow c 3)) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))
894.0ms
(+ (* (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))) (+ (* (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))
854.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t)))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (pow b 3) (pow c 3)) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))
853.0ms
(- (* (* z (sqrt (+ t a))) (- (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* 3.0 t))) (- a (/ 2.0 (* 3.0 t))))))))

prune4.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes758.0ms

Accuracy

79.4% (1.6b remaining)

Error of 2.2b against oracle of 0.6b and baseline of 8.2b

bsearch936.0ms

end0.0ms

sample7.1s

Algorithm
intervals
Results
3.5s8041×body80nan
2.6s8000×body80valid