Details

Time bar (total: 14.7s)

sample174.0ms

Algorithm
intervals
Results
72.0ms1461×body80nan
29.0ms463×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum 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 → 95
Calls
4 calls:
11.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
76.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
33.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series380.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- t 1.0) (log a))
37.0ms
(* y (log z))
169.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
113.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0493869
12033715
25001683

prune360.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite452.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
96×add-sqr-sqrt
81×associate-*r*
76×*-un-lft-identity
75×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
26×log-prod
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
14×pow1
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
8×pow-exp div-inv unswap-sqr
6×log-pow cbrt-unprod
5×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp associate-*r/ log-rec inv-pow
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 199
Calls
4 calls:
147.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
283.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series756.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
60.0ms
(* (log (/ 1 a)) t)
37.0ms
(* y (log (/ 1 z)))
325.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010772667
150022322

prune810.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite505.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
46×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
39×add-exp-log times-frac add-cbrt-cube
26×distribute-rgt-in distribute-lft-in
16×pow1
15×associate-*r*
13×prod-exp cbrt-unprod
12×cbrt-undiv div-exp associate-*l*
9×log-pow
5×div-inv
4×add-log-exp
3×pow-flip associate-*r/ log-rec pow-prod-down associate-/r* *-commutative associate-/l/ inv-pow unswap-sqr
2×distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times frac-2neg associate-*l/ clear-num associate-/l*
Counts
4 → 152
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
8.0ms
(* y (log (/ 1 z)))
479.0ms
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series478.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (log (/ 1 a)) t)
44.0ms
(* y (log (/ 1 z)))
38.0ms
(* y (log (/ 1 z)))
331.0ms
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify81.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06742276
132281589
250011377

prune718.0ms

Filtered
164 candidates to 96 candidates (58.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.4b
(* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

rewrite692.0ms

Algorithm
rewrite-expression-head
Rules
1077×times-frac
597×sqrt-prod
501×add-sqr-sqrt
495×add-cube-cbrt *-un-lft-identity
451×associate-*r*
273×unpow-prod-down
60×exp-sum
52×log-prod
46×add-exp-log add-cbrt-cube
29×div-inv
26×distribute-rgt-in distribute-lft-in
21×pow1 sqr-pow
18×prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-undiv div-exp
9×log-pow
6×pow-prod-down
4×*-commutative add-log-exp
3×pow-flip associate-*r/ log-rec inv-pow unswap-sqr
2×distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times associate-*l/
Counts
4 → 586
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
11.0ms
(* y (log (/ 1 z)))
8.0ms
(* y (log (/ 1 z)))
605.0ms
(* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series479.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (log (/ 1 a)) t)
38.0ms
(* y (log (/ 1 z)))
43.0ms
(* y (log (/ 1 z)))
335.0ms
(* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify183.0ms

Algorithm
egg-herbie
Counts
598 → 598
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0359516326
1500215734

prune2.8s

Filtered
598 candidates to 331 candidates (55.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231
13231

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s45345×body80nan
902.0ms15161×body80valid