Details

Time bar (total: 49.4s)

sample355.0ms

Algorithm
intervals
Results
262.0ms1670×body80nan
36.0ms258×body80valid

simplify436.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
436.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (log (+ x y)) (log z))
0.1b
(* (- a 0.5) (log t))
0.1b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.0b
(- (+ (log (+ x y)) (log z)) t)

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
48×pow1
43×add-sqr-sqrt
42×prod-diff log-pow
41×distribute-lft-out
35×add-cube-cbrt
28×associate-+l+
19×log-prod
14×add-log-exp
13×fma-def
11×distribute-lft-out--
9×associate-+r+
7×fma-neg
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip--
5×associate-*l* associate-+l-
4×expm1-log1p-u log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16 log1p-expm1-u
3×difference-of-squares
2×associate--l- +-commutative sub-neg associate--l+
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 176
Calls
4 calls:
Slowest
178.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
50.0ms
(- (+ (log (+ x y)) (log z)) t)
33.0ms
(* (- a 0.5) (log t))
26.0ms
(+ (log (+ x y)) (log z))

series681.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
258.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
221.0ms
(- (+ (log (+ x y)) (log z)) t)
108.0ms
(+ (log (+ x y)) (log z))
94.0ms
(* (- a 0.5) (log t))

simplify12.1s

Counts
149 → 188
Calls
149 calls:
Slowest
743.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
514.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
482.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
475.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))
413.0ms
(- (* 0.5 (log (/ 1 t))) (+ t (+ (log (/ 1 z)) (+ (log (/ 1 x)) (* a (log (/ 1 t)))))))

prune2.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
Slowest
46.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series875.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
280.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
220.0ms
(cbrt (+ x y))
199.0ms
(cbrt (+ x y))
175.0ms
(cbrt (+ x y))

simplify4.6s

Counts
94 → 119
Calls
94 calls:
Slowest
797.0ms
(- (+ (* 2/3 (* x (pow (/ 1 y) 1/3))) (pow y 2/3)) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
313.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))
277.0ms
(* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ x y)))
209.0ms
(- (+ (pow y 1/3) (* 1/3 (* x (pow (/ 1 (pow y 2)) 1/3)))) (* 1/9 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))))
203.0ms
(* (cbrt (- (* x x) (* y y))) (cbrt (+ x y)))

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.4b
(* (cbrt t) (cbrt t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
8.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(* (cbrt t) (cbrt t))
301.0ms
(cbrt t)
288.0ms
(cbrt t)
249.0ms
(cbrt t)

simplify1.0s

Counts
63 → 97
Calls
63 calls:
Slowest
169.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
153.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
135.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
120.0ms
(* (pow (pow t 2) 1/3) (pow (cbrt -1) 2))
79.0ms
(* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt (cbrt t)) (cbrt (cbrt t))))

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

5.1b
(pow t 1/3)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.4b
(* (pow t 1/3) (cbrt t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×cbrt-prod *-un-lft-identity add-cube-cbrt
10×add-exp-log
8×unpow-prod-down
7×associate-*l*
6×associate-*r* unswap-sqr
5×pow1 add-cbrt-cube pow1/3
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow prod-exp
2×pow-to-exp unpow1/3 pow-exp cbrt-unprod
1×pow-pow pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 87
Calls
4 calls:
Slowest
9.0ms
(* (pow t 1/3) (cbrt t))
2.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
317.0ms
(* (pow t 1/3) (cbrt t))
285.0ms
(cbrt t)
267.0ms
(pow t 1/3)
260.0ms
(cbrt t)

simplify3.2s

Counts
56 → 99
Calls
56 calls:
Slowest
585.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
534.0ms
(* (* (* (pow t 1/3) (pow t 1/3)) (pow t 1/3)) t)
285.0ms
(* (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 t)))))) (cbrt -1))
155.0ms
(* (pow t (/ 1/3 2)) (sqrt (cbrt t)))
145.0ms
(* (pow t (/ 1/3 2)) (sqrt (cbrt t)))

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch6.0ms

end0.0ms

sample13.3s

Algorithm
intervals
Results
10.2s55368×body80nan
1.4s8039×body80valid