Details

Time bar (total: 25.8s)

sample173.0ms

Algorithm
intervals
Results
18.0ms264×body80valid

simplify1.1s

Calls
1 calls:
Slowest
1.1s
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize30.0ms

Local error

Found 2 expressions with local error:

17.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×pow1
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
19.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
8.0ms
(* (+ t1 u) (+ t1 u))

series119.0ms

Calls
2 calls:
Slowest
102.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify6.4s

Calls
48 calls:
Slowest
656.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
613.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
497.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
442.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
418.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune673.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
10×add-cbrt-cube add-exp-log
8×associate-/r/
7×neg-mul-1
6×associate-/r* associate-*r*
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp distribute-frac-neg cbrt-unprod
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
15.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
8.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series122.0ms

Calls
3 calls:
Slowest
80.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
26.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ v (+ t1 u))

simplify2.6s

Calls
82 calls:
Slowest
395.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
262.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
166.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
158.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
157.0ms
(/ (- t1) (- (* t1 t1) (* u u)))

prune907.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
0.2b
(* (- t1) (/ 1 (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ 1 (+ t1 u))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×pow1 associate-*r*
11×add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×associate-/r/
7×prod-exp
6×associate-/r*
5×associate-*l*
4×expm1-log1p-u flip3-+ pow-prod-down associate-*r/ cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out rec-exp un-div-inv
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×neg-mul-1 pow-flip inv-pow
Calls
4 calls:
Slowest
12.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
7.0ms
(* (- t1) (/ 1 (+ t1 u)))
2.0ms
(/ 1 (+ t1 u))
1.0ms
(/ v (+ t1 u))

series157.0ms

Calls
4 calls:
Slowest
96.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
28.0ms
(* (- t1) (/ 1 (+ t1 u)))
18.0ms
(/ v (+ t1 u))
15.0ms
(/ 1 (+ t1 u))

simplify3.8s

Calls
60 calls:
Slowest
456.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
390.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
369.0ms
(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))
328.0ms
(+ (+ (log (- t1)) (log (/ 1 (+ t1 u)))) (log (/ v (+ t1 u))))
282.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u)))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune966.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×pow1
12×cbrt-prod
11×prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*r* pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×neg-mul-1 pow1/3 associate-*r/
2×cbrt-undiv div-exp associate-/r/
1×frac-times flip3-+ associate-*l* associate-*l/ *-commutative flip-+ div-inv
Calls
4 calls:
Slowest
47.0ms
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))
1.0ms
(cbrt (- t1))
1.0ms
(cbrt (- t1))
1.0ms
(cbrt (- t1))

series1.0s

Calls
4 calls:
Slowest
305.0ms
(cbrt (- t1))
283.0ms
(cbrt (- t1))
280.0ms
(cbrt (- t1))
161.0ms
(* (* (* (cbrt (- t1)) (cbrt (- t1))) (/ (cbrt (- t1)) (+ t1 u))) (/ v (+ t1 u)))

simplify5.1s

Calls
48 calls:
Slowest
564.0ms
(+ (+ (+ (log (cbrt (- t1))) (log (cbrt (- t1)))) (- (log (cbrt (- t1))) (log (+ t1 u)))) (log (/ v (+ t1 u))))
487.0ms
(+ (+ (log (* (cbrt (- t1)) (cbrt (- t1)))) (log (/ (cbrt (- t1)) (+ t1 u)))) (log (/ v (+ t1 u))))
469.0ms
(+ (+ (+ (log (cbrt (- t1))) (log (cbrt (- t1)))) (log (/ (cbrt (- t1)) (+ t1 u)))) (log (/ v (+ t1 u))))
446.0ms
(+ (+ (log (* (cbrt (- t1)) (cbrt (- t1)))) (- (log (cbrt (- t1))) (log (+ t1 u)))) (log (/ v (+ t1 u))))
401.0ms
(* (* (* (* (* (cbrt (- t1)) (cbrt (- t1))) (* (cbrt (- t1)) (cbrt (- t1)))) (* (cbrt (- t1)) (cbrt (- t1)))) (/ (- t1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune901.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8261×body80valid