Details

Time bar (total: 12.7s)

sample185.0ms

Algorithm
intervals
Results
77.0ms1501×body80nan
31.0ms512×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod exp-sum
10×pow1 add-log-exp
9×prod-diff
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 112
Calls
4 calls:
11.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
33.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series375.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- t 1.0) (log a))
37.0ms
(* y (log z))
113.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05801143
12309897
25002860

prune421.0ms

Filtered
124 candidates to 89 candidates (71.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log a))
0.5b
(cbrt (log a))
0.9b
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) y)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
12×exp-sum
10×add-log-exp
9×prod-diff add-cbrt-cube
8×add-exp-log cbrt-prod
6×pow1
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×times-frac associate-/r* rem-exp-log
2×cbrt-undiv exp-diff pow1/3 diff-log div-exp log-pow
1×sub-neg frac-2neg associate-*r/ prod-exp associate--l+ clear-num sum-log cbrt-unprod div-inv associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt (log a))
1.0ms
(cbrt (log a))
33.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
79.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) y)

series834.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt (log a))
277.0ms
(cbrt (log a))
118.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
165.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04281437
114721168
25001982

prune391.0ms

Filtered
94 candidates to 72 candidates (76.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log a))
0.9b
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
0.9b
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
1.5b
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

rewrite570.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
24×exp-sum
21×add-cube-cbrt
18×prod-diff
16×add-log-exp
13×add-exp-log add-cbrt-cube
10×exp-prod
6×exp-diff rem-exp-log
5×pow1
4×cbrt-prod expm1-log1p-u sqrt-div diff-log associate-*r/ log1p-expm1-u
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod associate-/l/
2×sub-neg associate--l+ sum-log distribute-lft-out-- difference-of-squares
1×frac-times frac-2neg pow1/3 associate-*l/ clear-num log-pow div-inv associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt (log a))
31.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
33.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
502.0ms
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

series662.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (log a))
114.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
112.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
165.0ms
(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04822455
117231877
250011560

prune569.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log a))
0.5b
(cbrt (log a))
0.9b
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
1.5b
(/ (* x (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt
13×add-exp-log add-cbrt-cube
12×exp-sum
10×add-log-exp
9×prod-diff
8×cbrt-prod
6×pow1
5×exp-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u
3×cbrt-undiv times-frac exp-diff div-exp prod-exp associate-/r* cbrt-unprod rem-exp-log associate-/l/
2×pow1/3 diff-log log-pow
1×frac-times sub-neg frac-2neg associate-*l/ associate--l+ clear-num sum-log div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt (log a))
1.0ms
(cbrt (log a))
32.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
264.0ms
(/ (* x (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

series1.6s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (log a))
444.0ms
(cbrt (log a))
113.0ms
(exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))
742.0ms
(/ (* x (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (sqrt (exp (- (+ (* y (log z)) (* (* (- t 1.0) (* (cbrt (log a)) (cbrt (log a)))) (cbrt (log a)))) b))))) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05821926
121701617
250031511

prune596.0ms

Filtered
98 candidates to 73 candidates (74.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02425
12425

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s45286×body80nan
936.0ms15212×body80valid