Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms283×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.4b
(fma (/ y (- a t)) (- 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 (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series205.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
177.0ms
(fma (/ y (- a t)) (- z t) x)

simplify104.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune163.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.4b
(fma (* 1 (/ y (- a t))) (- 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 (- a t))
0.0ms
(fma (* 1 (/ y (- a t))) (- z t) x)

series211.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
177.0ms
(fma (* 1 (/ y (- a t))) (- z t) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0170277
1522255
21598253
35001253

prune164.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.4b
(/ 1 (/ (- a t) y))
2.4b
(fma (* 1 (/ 1 (/ (- a t) y))) (- z t) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
9.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (* 1 (/ 1 (/ (- a t) y))) (- z t) x)

series285.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
73.0ms
(/ 1 (/ (- a t) y))
186.0ms
(fma (* 1 (/ 1 (/ (- a t) y))) (- z t) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04621085
11925957
25001848

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.7b
(* (/ (- z t) (- a t)) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- z t) (- a t))
29.0ms
(* (/ (- z t) (- a t)) y)

series158.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- z t) (- a t))
102.0ms
(* (/ (- z t) (- a t)) y)

simplify103.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample522.0ms

Algorithm
intervals
Results
260.0ms8728×body80valid
0.0ms1×body320valid