Details

Time bar (total: 4.2s)

sample44.0ms

Algorithm
intervals
Results
31.0ms373×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0266
1815
22484
36134
412954
525244
633494
743894
846484
946484

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
13.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* d1 (- d4 d1))
49.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify36.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213430
1888283
25002273

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(* (- d2 d3) d1)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
8×associate-*r* associate-*l*
6×pow1 add-exp-log add-cbrt-cube
2×expm1-log1p-u sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
2 → 70
Calls
2 calls:
12.0ms
(* d1 (- d4 d1))
10.0ms
(* (- d2 d3) d1)

series62.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* d1 (- d4 d1))
27.0ms
(* (- d2 d3) d1)

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280449
11289302
25002296

prune119.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- d2 d3) d1)
0.3b
(* (sqrt (* (- d2 d3) d1)) (sqrt (* (- d2 d3) d1)))
1.8b
(sqrt (* (- d2 d3) d1))
1.8b
(sqrt (* (- d2 d3) d1))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*l* flip--
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
11.0ms
(* (- d2 d3) d1)
29.0ms
(* (sqrt (* (- d2 d3) d1)) (sqrt (* (- d2 d3) d1)))
4.0ms
(sqrt (* (- d2 d3) d1))
6.0ms
(sqrt (* (- d2 d3) d1))

series507.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (- d2 d3) d1)
59.0ms
(* (sqrt (* (- d2 d3) d1)) (sqrt (* (- d2 d3) d1)))
209.0ms
(sqrt (* (- d2 d3) d1))
212.0ms
(sqrt (* (- d2 d3) d1))

simplify50.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0270539
11191488
25002468

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (* (- d2 d3) d1))) (sqrt (sqrt (* (- d2 d3) d1))))
1.8b
(sqrt (* (- d2 d3) d1))
1.8b
(sqrt (* (- d2 d3) d1))
1.8b
(sqrt (* (- d2 d3) d1))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-pow1
70×pow1
30×sqrt-div
29×sqrt-prod
25×pow-prod-down
24×add-sqr-sqrt
21×pow1/2
20×associate-*l/
14×pow-prod-up
12×add-cube-cbrt *-un-lft-identity
9×flip3-- swap-sqr flip--
8×pow-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
36.0ms
(* (sqrt (sqrt (* (- d2 d3) d1))) (sqrt (sqrt (* (- d2 d3) d1))))
4.0ms
(sqrt (* (- d2 d3) d1))
7.0ms
(sqrt (* (- d2 d3) d1))
4.0ms
(sqrt (* (- d2 d3) d1))

series842.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (sqrt (sqrt (* (- d2 d3) d1))) (sqrt (sqrt (* (- d2 d3) d1))))
212.0ms
(sqrt (* (- d2 d3) d1))
209.0ms
(sqrt (* (- d2 d3) d1))
211.0ms
(sqrt (* (- d2 d3) d1))

simplify44.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0255734
1928671
25001640

prune314.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s11815×body80valid