Details

Time bar (total: 3.2s)

sample26.0ms

Algorithm
intervals
Results
14.0ms282×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.1b
(fma (/ y (- z a)) (- z t) x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series103.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
73.0ms
(fma (/ y (- z a)) (- z t) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (95.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
3.1b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
5.0ms
(/ 1 (- z a))
16.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series142.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- z a))
27.0ms
(* y (/ 1 (- z a)))
76.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
3.1b
(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
0.0ms
(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

series526.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z a))
151.0ms
(cbrt (- z a))
151.0ms
(cbrt (- z a))
78.0ms
(fma (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))) (- z t) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0189502
1427459
21313444
35001421

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
10.0b
(/ (* y (- z t)) (- z a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z t)) (- z a)))
15.0ms
(* y (- z t))
14.0ms
(/ (* y (- z t)) (- z a))

series182.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (/ (* y (- z t)) (- z a)))
40.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) (- z a))

simplify54.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0425660
11856494
25001492

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

77.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03023
13023

end0.0ms

sample712.0ms

Algorithm
intervals
Results
444.0ms8733×body80valid
0.0ms1×body640valid