Details

Time bar (total: 5.2s)

sample37.0ms

Algorithm
intervals
Results
23.0ms281×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.7b
(fma y (/ (- z t) (- z a)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
13.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series130.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z t) (- z a))
82.0ms
(fma y (/ (- z t) (- z a)) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune219.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.0b
(/ z (- z a))
0.0b
(/ t (- z a))
1.7b
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
76.0ms
(- (/ z (- z a)) (/ t (- z a)))
6.0ms
(/ z (- z a))
6.0ms
(/ t (- z a))
1.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series317.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (/ z (- z a)) (/ t (- z a)))
51.0ms
(/ z (- z a))
32.0ms
(/ t (- z a))
112.0ms
(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify195.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0123715688
1331411704
2500211614

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(log1p (expm1 (/ z (- z a))))
0.5b
(expm1 (/ z (- z a)))
1.7b
(fma y (- (log1p (expm1 (/ z (- z a)))) (/ t (- z a))) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
14×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-/r* log1p-expm1-u
4×pow1 expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/l*
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg log1p-expm1 div-exp clear-num flip-- fma-udef div-inv expm1-udef
Counts
4 → 71
Calls
4 calls:
6.0ms
(/ t (- z a))
0.0ms
(log1p (expm1 (/ z (- z a))))
0.0ms
(expm1 (/ z (- z a)))
0.0ms
(fma y (- (log1p (expm1 (/ z (- z a)))) (/ t (- z a))) x)

series346.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ t (- z a))
89.0ms
(log1p (expm1 (/ z (- z a))))
78.0ms
(expm1 (/ z (- z a)))
148.0ms
(fma y (- (log1p (expm1 (/ z (- z a)))) (/ t (- z a))) x)

simplify117.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0199426
1499381
21344381
34186380
45001380

prune321.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.7b
(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ 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 → 105
Calls
3 calls:
6.0ms
(/ 1 (- z a))
25.0ms
(* (- z t) (/ 1 (- z a)))
0.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

series175.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- z a))
48.0ms
(* (- z t) (/ 1 (- z a)))
82.0ms
(fma y (* (- z t) (/ 1 (- z a))) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0337585
11465510
25001468

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.0b

regimes198.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128

end0.0ms

sample1.0s

Algorithm
intervals
Results
739.0ms8733×body80valid
0.0ms1×body1280valid