Details

Time bar (total: 11.2s)

sample225.0ms

Algorithm
intervals
Results
85.0ms87×body2560valid
54.0ms65×body10240exit
51.0ms110×body1280valid
9.0ms36×body640valid
5.0ms321×pre80true
1.0ms6×body320valid
1.0ms6×body160valid
1.0ms11×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04013
110113
224513
369713
4346313
5500113

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.4b
(- (exp (* b eps)) 1.0)
2.7b
(- (exp (* a eps)) 1.0)
3.8b
(- (exp (* (+ a b) eps)) 1.0)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
10×add-log-exp
9×flip3-- flip--
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
5×sub-neg associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
4×frac-times
3×diff-log
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
78.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
13.0ms
(- (exp (* b eps)) 1.0)
14.0ms
(- (exp (* a eps)) 1.0)
18.0ms
(- (exp (* (+ a b) eps)) 1.0)

series183.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
33.0ms
(- (exp (* b eps)) 1.0)
36.0ms
(- (exp (* a eps)) 1.0)
55.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0346733
11449673
25001673

prune364.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 49.7b

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (exp (* a eps)) 1.0)
3.8b
(- (exp (* (+ a b) eps)) 1.0)
13.0b
(* (pow eps 2) (pow b 2))
14.7b
(* (pow eps 3) (pow b 3))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×unswap-sqr
28×add-exp-log unpow-prod-down
20×associate-*r* associate-*l* sqr-pow
18×*-un-lft-identity prod-exp
14×add-cube-cbrt cube-prod
12×pow-to-exp pow-exp
10×unpow2
8×add-cbrt-cube add-log-exp
4×pow1
2×cube-mult sub-neg flip3-- diff-log unpow3 pow-prod-down *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 138
Calls
4 calls:
13.0ms
(- (exp (* a eps)) 1.0)
15.0ms
(- (exp (* (+ a b) eps)) 1.0)
19.0ms
(* (pow eps 2) (pow b 2))
25.0ms
(* (pow eps 3) (pow b 3))

series186.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (exp (* a eps)) 1.0)
51.0ms
(- (exp (* (+ a b) eps)) 1.0)
38.0ms
(* (pow eps 2) (pow b 2))
62.0ms
(* (pow eps 3) (pow b 3))

simplify87.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0460772
12092679
25001636

prune605.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 49.2b

localize31.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (pow eps 3) b)
3.8b
(- (exp (* (+ a b) eps)) 1.0)
8.9b
(* (* (pow eps 3) b) (* b b))
13.0b
(* (pow eps 2) (pow b 2))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
37×add-sqr-sqrt
30×prod-exp
21×associate-*l*
20×add-cbrt-cube unswap-sqr
18×unpow-prod-down
14×*-un-lft-identity
12×add-cube-cbrt associate-*r* sqr-pow
10×cbrt-unprod unpow2
9×pow1 pow-to-exp pow-exp
6×add-log-exp
4×cube-prod pow-prod-down
3×*-commutative
1×cube-mult sub-neg flip3-- diff-log unpow3 flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
14.0ms
(* (pow eps 3) b)
17.0ms
(- (exp (* (+ a b) eps)) 1.0)
35.0ms
(* (* (pow eps 3) b) (* b b))
19.0ms
(* (pow eps 2) (pow b 2))

series180.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (pow eps 3) b)
49.0ms
(- (exp (* (+ a b) eps)) 1.0)
68.0ms
(* (* (pow eps 3) b) (* b b))
33.0ms
(* (pow eps 2) (pow b 2))

simplify75.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0427623
11948514
25002502

prune517.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 49.2b

localize30.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (pow eps 3) b)
3.8b
(- (exp (* (+ a b) eps)) 1.0)
8.9b
(* (* (pow eps 3) b) (* b b))
13.0b
(* (pow eps 2) (pow b 2))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
37×add-sqr-sqrt
30×prod-exp
21×associate-*l*
20×add-cbrt-cube unswap-sqr
18×unpow-prod-down
14×*-un-lft-identity
12×add-cube-cbrt associate-*r* sqr-pow
10×cbrt-unprod unpow2
9×pow1 pow-to-exp pow-exp
6×add-log-exp
4×cube-prod pow-prod-down
3×*-commutative
1×cube-mult sub-neg flip3-- diff-log unpow3 flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
16.0ms
(* (pow eps 3) b)
15.0ms
(- (exp (* (+ a b) eps)) 1.0)
35.0ms
(* (* (pow eps 3) b) (* b b))
22.0ms
(* (pow eps 2) (pow b 2))

series183.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (pow eps 3) b)
51.0ms
(- (exp (* (+ a b) eps)) 1.0)
69.0ms
(* (* (pow eps 3) b) (* b b))
33.0ms
(* (pow eps 2) (pow b 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0427623
11948514
25002502

prune543.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 49.2b

regimes191.0ms

Accuracy

49.5% (4.4b remaining)

Error of 53.7b against oracle of 49.3b and baseline of 58.0b

bsearch309.0ms

Steps
ItersRangePoint
7
8.712263967736246e+126
3.260842031768285e+128
9.716140837926457e+126
9
-3.889995037463458e+74
-1.693162129245245e+66
-1.9693375139914443e+72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07545
17545

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.5s2587×body2560valid
1.7s2040×body10240exit
1.7s3506×body1280valid
260.0ms989×body640valid
149.0ms10043×pre80true
56.0ms320×body320valid
24.0ms458×body80valid
16.0ms143×body160valid