Details

Time bar (total: 10.9s)

sample211.0ms

Algorithm
intervals
Results
72.0ms77×body2560valid
58.0ms120×body1280valid
47.0ms51×body10240exit
8.0ms31×body640valid
5.0ms307×pre80true
2.0ms11×body320valid
1.0ms13×body80valid
0.0ms4×body160valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04013
110113
225813
376613
4389513
5500113

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.9b
(- (exp (* a eps)) 1.0)
4.1b
(- (exp (* b eps)) 1.0)
6.8b
(- (exp (* (+ a b) eps)) 1.0)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
49×*-un-lft-identity
45×prod-diff
39×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×add-log-exp
9×flip3-- fma-neg flip--
6×pow1 add-exp-log add-cbrt-cube
5×sub-neg associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u frac-times log1p-expm1-u
3×diff-log
2×associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 138
Calls
4 calls:
28.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
5.0ms
(- (exp (* a eps)) 1.0)
5.0ms
(- (exp (* b eps)) 1.0)
5.0ms
(- (exp (* (+ a b) eps)) 1.0)

series167.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
34.0ms
(- (exp (* a eps)) 1.0)
32.0ms
(- (exp (* b eps)) 1.0)
51.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04881660
120511241
250031216

prune448.0ms

Filtered
150 candidates to 91 candidates (60.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 48.4b

localize28.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (fma 1/6 (* (pow a 3) (pow eps 3)) (fma 1/2 (* (pow a 2) (pow eps 2)) (* a eps))) (- (exp (* b eps)) 1.0)))
6.8b
(- (exp (* (+ a b) eps)) 1.0)
13.2b
(* (pow a 2) (pow eps 2))
15.7b
(* (pow a 3) (pow eps 3))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
40×add-exp-log
32×unswap-sqr
28×unpow-prod-down
23×*-un-lft-identity
22×prod-exp
21×add-cube-cbrt
20×associate-*r* associate-*l* add-cbrt-cube sqr-pow
14×cube-prod
12×pow-to-exp pow-exp
10×unpow2
9×prod-diff
6×cbrt-unprod add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u
3×flip3-- fma-neg flip--
2×cube-mult unpow3 pow-prod-down associate-/r/ *-commutative associate-/l/
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
20.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (fma 1/6 (* (pow a 3) (pow eps 3)) (fma 1/2 (* (pow a 2) (pow eps 2)) (* a eps))) (- (exp (* b eps)) 1.0)))
5.0ms
(- (exp (* (+ a b) eps)) 1.0)
10.0ms
(* (pow a 2) (pow eps 2))
12.0ms
(* (pow a 3) (pow eps 3))

series897.0ms

Counts
4 → 12
Calls
4 calls:
757.0ms
(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (fma 1/6 (* (pow a 3) (pow eps 3)) (fma 1/2 (* (pow a 2) (pow eps 2)) (* a eps))) (- (exp (* b eps)) 1.0)))
45.0ms
(- (exp (* (+ a b) eps)) 1.0)
34.0ms
(* (pow a 2) (pow eps 2))
61.0ms
(* (pow a 3) (pow eps 3))

simplify129.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
07901822
144901421
250011416

prune707.0ms

Filtered
181 candidates to 103 candidates (56.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (- (exp (* a eps)) 1.0) (fma 1/6 (* (pow eps 3) (pow b 3)) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b))))
6.8b
(- (exp (* (+ a b) eps)) 1.0)
12.2b
(* (pow eps 2) (pow b 2))
15.4b
(* (pow eps 3) (pow b 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
33×unswap-sqr
30×add-exp-log
28×unpow-prod-down
27×*-un-lft-identity
25×associate-*l*
23×add-cube-cbrt associate-*r*
20×sqr-pow
19×prod-exp
14×cube-prod
12×pow-to-exp pow-exp
10×add-cbrt-cube unpow2
9×prod-diff
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg pow-prod-down *-commutative cbrt-unprod
2×cube-mult flip3-- unpow3 associate-*l/ flip-- fma-udef distribute-lft-out-- difference-of-squares
1×distribute-rgt-in sub-neg distribute-lft-in diff-log
Counts
4 → 168
Calls
4 calls:
14.0ms
(* (- (exp (* a eps)) 1.0) (fma 1/6 (* (pow eps 3) (pow b 3)) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b))))
5.0ms
(- (exp (* (+ a b) eps)) 1.0)
9.0ms
(* (pow eps 2) (pow b 2))
12.0ms
(* (pow eps 3) (pow b 3))

series359.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (- (exp (* a eps)) 1.0) (fma 1/6 (* (pow eps 3) (pow b 3)) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b))))
45.0ms
(- (exp (* (+ a b) eps)) 1.0)
35.0ms
(* (pow eps 2) (pow b 2))
60.0ms
(* (pow eps 3) (pow b 3))

simplify106.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06231418
131571159
250011149

prune630.0ms

Filtered
180 candidates to 98 candidates (54.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.4s2525×body2560valid
1.7s1957×body10240exit
1.7s3405×body1280valid
310.0ms1108×body640valid
161.0ms9961×pre80true
70.0ms386×body320valid
24.0ms453×body80valid
15.0ms127×body160valid