Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
16.0ms274×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.9b
(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)

series219.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ y (- a t))
188.0ms
(fma (/ y (- a t)) (- z t) x)

simplify113.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune165.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.9b
(/ 1 (/ (- a t) y))
2.9b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite26.0ms

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)
10.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series305.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- a t) y)
73.0ms
(/ 1 (/ (- a t) y))
200.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04621073
11927947
25001836

prune318.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) y)
10.5b
(/ (- z t) (/ (- a t) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num flip-- log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
8.0ms
(/ (- a t) y)
16.0ms
(/ (- z t) (/ (- a t) y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- a t) y)
105.0ms
(/ (- z t) (/ (- a t) y))

simplify77.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07101622
127841571
250011570

prune456.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.7b
(* (/ (- z t) (- a t)) y)

rewrite41.0ms

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))
25.0ms
(* (/ (- z t) (- a t)) y)

series168.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- z t) (- a t))
109.0ms
(* (/ (- z t) (- a t)) y)

simplify110.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune261.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0.9% (1.4b remaining)

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

bsearch86.0ms

Steps
ItersRangePoint
9
6.0403677168596346e-24
8.956800960144148e-15
3.3574302833415656e-19
6
-7.609404180046425e-156
-8.4764767712441e-157
-1.7739575452023348e-156

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample778.0ms

Algorithm
intervals
Results
510.0ms8740×body80valid