Details

Time bar (total: 2.2s)

sample28.0ms

Algorithm
intervals
Results
11.0ms391×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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
22.0ms
(* d1 (- d4 d1))
0.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* d1 (- d4 d1))
58.0ms
(fma (- d2 d3) d1 (* d1 (- d4 d1)))

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0213430
1888283
25002273

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×prod-diff
21×add-sqr-sqrt
17×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
7×distribute-lft-out
6×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/ distribute-lft-out--
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
64.0ms
(* d1 (- d4 (+ d3 d1)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* d1 (- d4 (+ d3 d1)))

simplify35.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0213566
1890366
25002318

prune53.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- d2 d3) d1 (* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1)))))
0.1b
(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
6.9b
(sqrt (* d1 (- d4 d1)))
6.9b
(sqrt (* d1 (- d4 d1)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*r/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 99
Calls
4 calls:
0.0ms
(fma (- d2 d3) d1 (* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1)))))
56.0ms
(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
16.0ms
(sqrt (* d1 (- d4 d1)))
16.0ms
(sqrt (* d1 (- d4 d1)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma (- d2 d3) d1 (* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1)))))
54.0ms
(* (sqrt (* d1 (- d4 d1))) (sqrt (* d1 (- d4 d1))))
124.0ms
(sqrt (* d1 (- d4 d1)))
126.0ms
(sqrt (* d1 (- d4 d1)))

simplify41.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0250626
11040539
25001510

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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
094
194

end0.0ms

sample763.0ms

Algorithm
intervals
Results
362.0ms11813×body80valid