Details

Time bar (total: 19.4s)

sample182.0ms

Algorithm
intervals
Results
76.0ms1461×body80nan
29.0ms463×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune11.0ms

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))

rewrite126.0ms

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:
10.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
77.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series366.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- t 1.0) (log a))
38.0ms
(* y (log z))
158.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
112.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify62.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05801143
12309897
25002860

prune463.0ms

Filtered
124 candidates to 89 candidates (71.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b
(fma (log (/ 1 a)) t b)
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
74×add-sqr-sqrt
72×associate-*r*
58×*-un-lft-identity
57×add-cube-cbrt
55×unpow-prod-down
41×add-exp-log
24×div-exp
19×fma-udef
18×add-cbrt-cube
17×exp-sum
14×prod-exp
8×pow-exp
6×pow1 div-inv unswap-sqr
5×cbrt-undiv sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l* associate-/r*
2×pow-to-exp rec-exp 1-exp associate-*r/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 153
Calls
4 calls:
63.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms
(fma (log (/ 1 a)) t b)
23.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series894.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
79.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
73.0ms
(fma (log (/ 1 a)) t b)
411.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify104.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09042177
141411915
250011905

prune728.0ms

Filtered
165 candidates to 124 candidates (75.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b
(fma (log (/ 1 a)) t b)
0.5b
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
3407×times-frac
1391×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
832×unpow-prod-down
293×associate-/r*
274×fma-udef
272×exp-sum
86×div-inv
64×sqr-pow
41×add-exp-log
38×div-exp
18×add-cbrt-cube
9×cbrt-undiv
8×pow-exp
6×associate-/r/ associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp rec-exp frac-2neg 1-exp clear-num
Counts
4 → 1244
Calls
4 calls:
22.0ms
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms
(fma (log (/ 1 a)) t b)
59.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
79.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
73.0ms
(fma (log (/ 1 a)) t b)
316.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify352.0ms

Algorithm
egg-herbie
Counts
1256 → 1256
Iterations

Useful iterations: 1 (85.0ms)

IterNodesCost
0492830290
1500130288

prune6.9s

Filtered
1256 candidates to 1024 candidates (81.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))
0.2b
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.2b
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.9b
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
223×sqrt-prod
222×times-frac
155×add-sqr-sqrt
144×associate-*r*
117×*-un-lft-identity
115×add-cube-cbrt
97×unpow-prod-down
38×add-exp-log add-cbrt-cube
22×exp-sum fma-udef
13×cbrt-undiv div-exp unswap-sqr
12×prod-exp cbrt-unprod
9×div-inv sqr-pow
8×pow1 sqrt-pow1
6×exp-prod
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l/
2×rem-sqrt-square pow1/2
1×frac-times frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 250
Calls
4 calls:
60.0ms
(* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))
2.0ms
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
2.0ms
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
88.0ms
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

series1.0s

Counts
4 → 12
Calls
4 calls:
384.0ms
(* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))
147.0ms
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
139.0ms
(sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
346.0ms
(/ (* (* x (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (sqrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
011584496
150023775

prune1.2s

Filtered
262 candidates to 159 candidates (60.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes198.0ms

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
02112
12112

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s45345×body80nan
920.0ms15161×body80valid