Details

Time bar (total: 18.4s)

sample193.0ms

Algorithm
intervals
Results
78.0ms1606×body80nan
31.0ms488×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03310
17310
21978
35588
422878
550018

prune13.0ms

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:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite137.0ms

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))
34.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
84.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series389.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- t 1.0) (log a))
41.0ms
(* y (log z))
115.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05801143
12309897
25002860

prune429.0ms

Filtered
124 candidates to 89 candidates (71.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)
1.5b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
16×div-exp
13×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp
5×add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u pow-exp log1p-expm1-u
3×exp-prod times-frac associate-/r* fma-udef
2×cbrt-unprod
1×pow-to-exp rec-exp frac-2neg 1-exp associate-*r/ exp-sum clear-num div-inv rem-exp-log associate-/l/ associate-/l*
Counts
4 → 65
Calls
4 calls:
1.0ms
(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)
14.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series589.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
84.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
77.0ms
(fma (log (/ 1 a)) t b)
339.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0451876
11703729
25001720

prune333.0ms

Filtered
77 candidates to 58 candidates (75.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)
0.8b
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite232.0ms

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:
26.0ms
(/ 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)
60.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series778.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
85.0ms
(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
75.0ms
(fma (log (/ 1 a)) t b)
350.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify344.0ms

Algorithm
egg-herbie
Counts
1256 → 1256
Iterations

Useful iterations: 1 (79.0ms)

IterNodesCost
0492830290
1500130288

prune7.0s

Filtered
1256 candidates to 1024 candidates (81.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(/ x (* (/ (* (cbrt y) (cbrt y)) (/ (pow (/ 1 (* (cbrt a) (cbrt a))) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (cbrt y) (/ (pow (/ 1 (cbrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
2465×add-exp-log
1618×div-exp
704×prod-exp
380×pow-exp
103×rec-exp 1-exp
84×add-cbrt-cube
73×cbrt-undiv
71×pow-to-exp
36×cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/r/ associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* div-inv
Counts
4 → 396
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
129.0ms
(/ x (* (/ (* (cbrt y) (cbrt y)) (/ (pow (/ 1 (* (cbrt a) (cbrt a))) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (cbrt y) (/ (pow (/ 1 (cbrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
176.0ms
(cbrt y)
173.0ms
(cbrt y)
485.0ms
(/ x (* (/ (* (cbrt y) (cbrt y)) (/ (pow (/ 1 (* (cbrt a) (cbrt a))) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (cbrt y) (/ (pow (/ 1 (cbrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))

simplify156.0ms

Algorithm
egg-herbie
Counts
408 → 408
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0311817327
1500214195

prune687.0ms

Filtered
408 candidates to 80 candidates (19.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02112
12112

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.2s45493×body80nan
917.0ms15130×body80valid